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Serhud [2]
3 years ago
8

∆ABC rotates around point D to create ∆A′B′C′.

Mathematics
1 answer:
tekilochka [14]3 years ago
8 0
Given that <span>∆ABC rotates around point D to create ∆A′B′C′.
</span> 
<span>Line BC is a horizontal line such that the length of BC is 2 units. Also line AB is a vertical line such that the length of AB is 3 units.

Based on the position of B'C', shown in the figure, the coordinates of A′ are will be vertical to the cordinate of B' going downwards with a length of 3 units. This means that the x-value of the coordinate of A' is the same as that of B' but the y-value of the coordinate of A' is 3 units less than that of B'.

The coordinate of B' is (4, 4).
Therefore, the coordinate of A' is (4, 4 - 3) = (4, 1).</span>
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The following list shows the items and prices for a restaurant order. Calculate the total amount if there is an 8% tax and the c
Andreas93 [3]

Answer:

Option B

The total amount is $63.31 if there is an 8% tax and the customer leaves a 20% gratuity.

Step-by-step explanation:

Given:

List of items                           Prices

1 Appetizer                             $8.59

2 Entrees                                $15.99 each

1 dessert                                 $4.69

2 drinks                                   $2.10 each

Total amount for the food order came to, \left ( 1\times \$ 8.59 \right +2\times \$15.99+1\times \$4.69+2\times\$2.10)=\left (\$ 8.59 \right + \$31.98+ \$4.69+\$4.20)=$49.46

Since the restaurant charges 8% as a tax on the total bill.

First, figure out the tax, 8% of $49.46=0.08\times $49.46=$3.9568

Now, figure out the Customer leaves a  gratuity, 20% of $49.46=0.20\times \$49.46=\$9.896

The total amount( including 8% tax and 20% gratuity )=$49.46+$9.896+$3.9568=$63.3128\approx \$63.31


8 0
3 years ago
Read 2 more answers
(x+5)(x+1)+(x+5)(x+8)
gtnhenbr [62]

Answer:

2x² + 19x + 45

Step-by-step explanation:

(x + 5)(x + 1) + (x + 5)(x + 8) ← expand both sets of factors using FOIL

= x² + 6x + 5 + x² + 13x + 40 ← collect like terms

= 2x² + 19x + 45

5 0
2 years ago
Could someone please help me with this? Solution set of lx^2+mx+n=0 is...?
IgorLugansk [536]

Answer:

Simplifying

lx2 + mx + n = 0

Solving

lx2 + mx + n = 0

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-1mx' to each side of the equation.

lx2 + mx + -1mx + n = 0 + -1mx

Combine like terms: mx + -1mx = 0

lx2 + 0 + n = 0 + -1mx

lx2 + n = 0 + -1mx

Remove the zero:

lx2 + n = -1mx

Add '-1n' to each side of the equation.

lx2 + n + -1n = -1mx + -1n

Combine like terms: n + -1n = 0

lx2 + 0 = -1mx + -1n

lx2 = -1mx + -1n

Divide each side by 'x2'.

l = -1mx-1 + -1nx-2

Simplifying

l = -1mx-1 + -1nx-2

Step-by-step explanation:

Hope this helped you!

6 0
3 years ago
Nia plans to put enough money in the bank each week for 100 weeks so that the amount in the bank is always proportional to the w
kobusy [5.1K]
Nia will have $250 in the savings account
6 0
3 years ago
Read 2 more answers
Which value of "a" would make the following statement true? 6(2x+a)=12x+30
Serga [27]

Answer:

A) 5

Step-by-step explanation:

6(2x+a)=12x+30

6*2x+6*a=12x+30

12x+6x=12x+30

6a=12x+30-12x

6a=30

a=30/6

a=5

8 0
2 years ago
Read 2 more answers
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